![The City University of New York Signal xte) has the Two-sided spectrum representation shown 10e 10 14 1) What is the amplitude of the DC component? A. O 8. 10 D. 8 2) What is the frequency of the First AC component? A. 100 Hz B.-100 Hz C. 250 H D. -250 Hz 3) What is the phase of the Second AC component? B, ?/3 D.?/2 4) What is the formula of the signal? A. x(1)s 14+1 0cos (2? ( 150)t-m/3 )+6cos(2n (400)t+ ?/2) B. x(t)-1 4 +20cos(2? (150)t + ?/2 )+12cos(Zr (400)t-?/3) C. x(1) 14+20cos(2m (150)1-m/ 3)+ 1 2cos(2n (400)t+ ?/2) D. x(1): 14 + 1 0cos(2m ( 1 50)t-m/ 3) +6cos(2? (400-m/2) 5) For digitizing signal x(t) to discrete format x(n], the minimal sampling frequency should be A. 150 Hz B. 400 Hz C. 550 Hz D. 800 Hz Consider a system described by the difference equation; yin]-8xin]+xn-1]+xIn-31 -2xn-4] 6) What is the order of the system? A. 8 B. 5 C. 4 D.-4 7) Find the system impulse response hin] A. him]- [8+1+1-2]-(10] B. hin] [8 1 1 -2] C.hin] -(8 101-2] D. hin) [8 10-2) 8) In the time domain, the output yin] of a LTI is the result of the impulse response hin) and input signal xin] by performing: A. Deconvolution B. Convolution C. Division D. Multiplication](http://img.homeworklib.com/questions/c02bc5a0-07cb-11ec-871d-cf07a5a1b52d.png?x-oss-process=image/resize,w_560)
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The City University of New York Signal xte) has the Two-sided spectrum representation shown 10e 10...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist...
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
PROBLEM 2 150 pts.] A signal is consist of three sine functions: the first one, ,...
PROBLEM 2 150 pts.] A signal is consist of three sine functions: the first one, , has a wave frequency of 50 Hz, the second one, 2, has 100 Hz, and the last one, r3, has 200 Hz. However, each function has different amplitude: the amplitude of the first signal component x! is 10 cm, the amplitude of the second signal component xi s 5 cm; and the amplitude of the last signal component t3 is 1 cm. As a...
For a signal representation shown graphically, it can be represented in terms of some basic signals...
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) =...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt)...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u/n), where u/h) is the unit step and B is an arbitrary constant (B>0), Take y-1)-0. Answer with either causal or 'anticausal only QUESTION 2 For the following system: yn) -yn-1Va -x(n), for a 0.9, find y(10), assuming y(n) - o, for ns -1.Hint: find a closed form for yin) and use it to find the required output sample. (xin)-1 for n>-0) QUESTION 3 A filter has the...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
Sketch the frequency spectrum of he following signal and indicate the complex magnitude of each. All...
Sketch the frequency spectrum of he following signal and
indicate the complex magnitude of each. All amplitudes must be
positive
Determine fundamental frequency and period
*all phases need to be written in terms of pi between
-pi and pi.
Sketch the frequency spectrum of the following signal and indicate the complex magnitude of each frequency component Manipulate phase as necessary to plot all components of the spectrum with positive amplitudes: x(t) = 14 cos( 1 60mt-π/4) + 5 cos(280mt-2π/3) -cos(600πt...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
For the continuous time signal() shown in the Figure 1
For the continuous time signal() shown in the Figure 1, sketch each of the following signals: (a) x(t-3)-3 points(b) x(2-t)-5 points(c) x(2 t+2)-5 points(d) x(2-t/3)-4 points(e) x(t)(σ(t+3/2)-σ(t-3/2))-2 points(f) (x(t)+x(2-t)) u(1-t)-6 points(g) x(t/2-3)+x(t/3-2)-6 points(h) x(t-1) u(t-1)-4 pointsσ(t) is the impulse function and u(t) is the unit step function.
QUESTION 4 a. Determine the frequency spectrum of the signal x(t) b. What is the Nyquist rate for this signal? cos(t) + 5sn3t. me-invariant system defined by, dt dt what will the system output y(t) be? QUESTION 5 The system function of a casual LTI system is given as, 2s a. Find the impulse response of the system. b. Find the step response of the system. A causal discrete-time LTI system is described by, y[n] - (3/4) yin-1+(1/8) yin-21 xn]...
PROBLEM 2 150 pts.] A signal is consist of three sine functions: the first one, , has a wave frequency of 50 Hz, the second one, 2, has 100 Hz, and the last one, r3, has 200 Hz. However, each function has different amplitude: the amplitude of the first signal component x! is 10 cm, the amplitude of the second signal component xi s 5 cm; and the amplitude of the last signal component t3 is 1 cm. As a...
For a signal representation shown graphically, it can be represented in terms of some basic signals such as unit step function. Consider the graphical representation of signal as in Figure Q1. (a) State the expression of x(t) in terms of the unit step function. (4 marks) (b) Find the expression for xo(t) and xe(t). (8 marks) (c) Plot y(t) = 3x(2t - 1). (5 marks) (d) Determine the energy and power of the signal x(t) given in Figure Q1. 0...
Question2: (40 points]: Consider the system shown in the figure with the input signal xc(t) = 3 cos(100t) + 2 cos(200t), sampling frequency ws = 600 rad/s, and final filter cutoff frequency w1 = 400 rad/s. The filter has an impulse response given byha[n] = 8[n – 1] + 8[n] + 8[n + 1]. a) [10 points] Find and plot the signal Xa(ein) b) [10 points] Find and plot the signals Ya(ejn) and yo (jw) c) [10 points] Find and...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u/n), where u/h) is the unit step and B is an arbitrary constant (B>0), Take y-1)-0. Answer with either causal or 'anticausal only QUESTION 2 For the following system: yn) -yn-1Va -x(n), for a 0.9, find y(10), assuming y(n) - o, for ns -1.Hint: find a closed form for yin) and use it to find the required output sample. (xin)-1 for n>-0) QUESTION 3 A filter has the...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
Sketch the frequency spectrum of he following signal and
indicate the complex magnitude of each. All amplitudes must be
positive
Determine fundamental frequency and period
*all phases need to be written in terms of pi between
-pi and pi.
Sketch the frequency spectrum of the following signal and indicate the complex magnitude of each frequency component Manipulate phase as necessary to plot all components of the spectrum with positive amplitudes: x(t) = 14 cos( 1 60mt-π/4) + 5 cos(280mt-2π/3) -cos(600πt...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
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